Browse

Equivalent Fractions Worksheets

9 free PDFsUS Letter PDFsAnswer key includedNo login

A fraction wall chart, fraction bars and number lines to find equal fractions, missing numerators and denominators, whole numbers as fractions, and word problems.

Download the equivalent fractions worksheets

Equivalent fractions with models

A fraction wall chart, then fraction bars, circles and rectangles, and two number lines lined up to show which fractions are equal.

  • Preview of the printable “Equivalent fractions with bars” worksheet: shading a second bar to match the first and writing the equivalent fractionView all 2 pages

    Equivalent fractions with bars

    Shading a second bar to match the first and writing the equivalent fraction

    Answer key on page 2

    US LetterPDFA4PDF

    2 pages39 KB

  • Preview of the printable “Equivalent or Not?” worksheet: writing the fraction for each of two same-size wholes and deciding whether they are equivalentView all 2 pages

    Equivalent or Not?

    Writing the fraction for each of two same-size wholes and deciding whether they are equivalent

    Answer key on page 2

    US LetterPDFA4PDF

    2 pages47 KB

  • Preview of the printable “Equivalent fractions on a number line” worksheet: finding the point on a second number line at the same place and naming the equivalent fractionView all 2 pages

    Equivalent fractions on a number line

    Finding the point on a second number line at the same place and naming the equivalent fraction

    Answer key on page 2

    US LetterPDFA4PDF

    2 pages40 KB

Find the missing number and whole numbers as fractions

Find the missing numerator or denominator, write whole numbers as fractions, circle every equivalent fraction, and solve word problems.

  • Preview of the printable “Find the missing Numerator, sheet A” worksheet: using bar models to find the missing numerator in a pair of equivalent fractionsView all 2 pages

    Find the missing Numerator, sheet A

    Using bar models to find the missing numerator in a pair of equivalent fractions

    Answer key on page 2

    US LetterPDFA4PDF

    2 pages35 KB

  • Preview of the printable “Find the missing Number, sheet B” worksheet: finding the missing numerator or denominator in equivalent fractionsView all 2 pages

    Find the missing Number, sheet B

    Finding the missing numerator or denominator in equivalent fractions

    Answer key on page 2

    US LetterPDFA4PDF

    2 pages37 KB

  • Preview of the printable “Find the equivalent fractions” worksheet: circling every fraction equal to a given fraction, including fractions equal to 1View all 2 pages

    Find the equivalent fractions

    Circling every fraction equal to a given fraction, including fractions equal to 1

    Answer key on page 2

    US LetterPDFA4PDF

    2 pages40 KB

Print at 100% (actual size) for the cleanest tracing lines.

About these equivalent fractions worksheets

Equivalent fractions are fractions that name the same amount, like 1/2 and 2/4. In 3rd grade children see this with pictures: two bars the same size shaded the same amount, or two number lines where the fractions land on the same point.

These worksheets start with a fraction wall chart and a list of the equal fractions 3rd graders meet: halves, fourths and eighths; thirds and sixths. Children shade bars to match, compare circles and rectangles, line up two number lines, find the missing number, and write whole numbers as fractions such as 3 = 3/1 and 8/4 = 2.

The models are drawn exactly, so equal fractions line up exactly. Every practice page has an answer key on page 2 and prints on US Letter or A4.

Standards

  • CCSS.MATH.CONTENT.3.NF.A.3.AUnderstand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
  • CCSS.MATH.CONTENT.3.NF.A.3.BRecognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model.
  • CCSS.MATH.CONTENT.3.NF.A.3.CExpress whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.

How to use them

  1. Start with the Equivalent Fractions Chart. Ask children to find every fraction that lines up with 1/2.
  2. Use Equivalent Fractions With Bars and Equivalent or Not? to see equal amounts before writing numbers.
  3. Use Equivalent Fractions on a Number Line to show that equal fractions are the same point.
  4. Find the Missing Numerator Sheet A has bars to help. Sheet B has no pictures and asks for some denominators too.
  5. Use Whole Numbers as Fractions for 3 = 3/1, 6/6 = 1 and 8/4 = 2.

Teaching tips

  • Keep the wholes the same size. Two fractions can only be equal if they are parts of the same whole.
  • When the denominator doubles, each part is half as big, so it takes twice as many parts.
  • 3rd graders explain with pictures, not rules. Ask: show me why 2/3 = 4/6.
  • Fraction strips from the Fractions page make a quick check at the table.

Questions teachers and parents ask

What are equivalent fractions?

Fractions that are the same size, like 1/2, 2/4, 3/6 and 4/8. They cover the same part of a whole and sit at the same point on a number line.

Which equivalent fractions do 3rd graders learn?

Simple ones with denominators 2, 3, 4, 6 and 8, such as 1/2 = 2/4, 2/3 = 4/6 and 3/4 = 6/8, plus whole numbers as fractions like 3 = 3/1 and 4/4 = 1.

Do 3rd graders multiply to find equivalent fractions?

Not yet. In 3rd grade children find them with pictures, fraction strips and number lines. Multiplying the top and bottom comes in 4th grade.